Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds

Details Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds

2002-08-15

arxiv.org/abs/math/0208124v5

Adv.Theor.Math.Phys. 6 (2002) 575-591

Mathematics

Differential Geometry

14 pages. To appear in Adv. Theor. Math. Phys

Scientific paper

We introduce a homology theory whose Euler characteristics counts ASD bundles
over four dimensional co-associative submanifolds in (almost) G_2 manifolds.
As a TQFT, in relative situations, we have the Fukaya-Floer category of
Lagrangians intersection in the moduli space of special Lagrangian submanifolds
in CY threefolds.

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